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Finding the Fourth Proportional to 265.86, 366.84 and 159.50

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Solution

The fourth proportional to 265.86, 366.84 and 159.50 is: 220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 366.84 = 159.50 : x
  2. Step 2: Convert to fraction form
    265.86/366.84 = 159.50/x
  3. Step 3: Cross multiply
    265.86x = 366.84 × 159.50
  4. Step 4: Simplify right side
    265.86x = 58,510.98
  5. Step 5: Solve for x
    x = 58,510.98/265.86
  6. Step 6: Final answer
    x = 220.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.